Volume of Irregular Solids and Displacement Method Quiz
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Questions and Answers

What does volume refer to in the context of measurements?

  • The length of an object
  • The weight of an object
  • The color of an object
  • The amount of space that an object occupies (correct)
  • How is the volume of a regular solid calculated?

  • Multiplying its length, width, and thickness (correct)
  • Subtracting its thickness from its length
  • Dividing its length by its width
  • Adding its length, width, and height
  • Which unit is commonly used to express the volume of liquid?

  • Meter squared
  • Liter (correct)
  • Cubic centimeter
  • Kilogram
  • What instrument is typically used to measure the volume of a liquid?

    <p>Graduated cylinder (A)</p> Signup and view all the answers

    How should you read the volume measurement for clear liquids in a graduated cylinder?

    <p>Read the lower meniscus (B)</p> Signup and view all the answers

    In which units is the volume of a regular solid typically expressed?

    <p>Cubic units like cubic meter or cubic cm (A)</p> Signup and view all the answers

    What is the formula to calculate the volume of a regular solid with known length, width, and thickness?

    <p>Volume = Length x Width x Thickness (C)</p> Signup and view all the answers

    If a cube has an edge length of 5 cm, what is its volume?

    <p>125 cm³ (B)</p> Signup and view all the answers

    A cylindrical container has a radius of 3 cm and a height of 10 cm. What is its volume in milliliters?

    <p>282.7 mL (B)</p> Signup and view all the answers

    If a rectangular tank is 2 m long, 1.5 m wide and 1 m deep, what is its maximum capacity in liters?

    <p>3000 L (B)</p> Signup and view all the answers

    An irregular solid displaces 250 mL of water when submerged. What is its volume?

    <p>250 mL (A)</p> Signup and view all the answers

    A cube has a volume of 64 cm³. What is the length of one of its edges?

    <p>4 cm (B)</p> Signup and view all the answers

    If a solid object with a mass of 3.5 g has a volume of 2 cc, what is its density?

    <p>$1.75$ g/cc (D)</p> Signup and view all the answers

    An irregularly shaped object is immersed in 50 mL of water in a graduated cylinder, causing the water level to rise to 58 mL. What is the volume of the object?

    <p>8 mL (B)</p> Signup and view all the answers

    If an object with a density of 0.8 g/cc is placed in water, what will happen?

    <p>It will float (C)</p> Signup and view all the answers

    A solid cube with an edge length of 4 cm is immersed in a graduated cylinder containing 100 mL of water. If the new water level reads 124 mL, what is the density of the cube?

    <p>$4$ g/cc (A)</p> Signup and view all the answers

    A solid sphere with a radius of 3 cm is immersed in a graduated cylinder containing 200 mL of water. If the new water level reads 230 mL, what is the density of the sphere?

    <p>$3.6$ g/cc (C)</p> Signup and view all the answers

    If an object with a volume of 10 cc and a mass of 25 g is placed in a graduated cylinder containing 150 mL of water, what will be the new water level?

    <p>160 mL (C)</p> Signup and view all the answers

    Study Notes

    Volume of a Regular Solid

    • Volume is the amount of space an object occupies.
    • Volume of a regular solid is obtained by multiplying its length, width, and thickness.
    • Volume is expressed in cubic units (e.g. cubic meter, cubic cm).

    Volume of a Liquid

    • Liquid volume is measured in cubic meters or liters (L).
    • Graduated cylinder is used to measure the volume of a liquid.
    • When reading the measurement of a clear liquid, read the lower meniscus.
    • When reading the measurement of a colored liquid, read the upper meniscus.
    • 1 dm³ = 1 liter (L) and 1 cm³ = 1 milliliter (mL).

    Volume of an Irregular Solid

    • An irregular solid is one where a dimension cannot be measured in a single straight line.
    • The displacement method is used to determine the volume of irregular solids.
    • The displacement method involves filling a container with water, putting the object in the container, and catching the overflow to get the volume of the overflow.

    Density

    • Density is the mass of an object per unit volume.
    • Substances differ in their densities, and each substance has a specific density.
    • Density is calculated using the formula: D = Mass / Volume (g/cc).
    • Materials with a density less than 1 g/cc (density of water) will float on water, and those with a density greater than 1 g/cc will sink.

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    Description

    Test your understanding of calculating the volume of irregular solids using the displacement method. Learn how Archimedes determined the volume of objects by water displacement. Practice calculating volume based on given dimensions of a wooden block.

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